Pith Number

pith:3JMWSSZJ

pith:2015:3JMWSSZJ3U4VD77OQCKTBEIA6E

not attested not anchored not stored refs pending

A Family of the Zeckendorf Theorem Related Identities

Ivica Martinjak

arxiv:1508.02762 v1 · 2015-08-11 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JMWSSZJ3U4VD77OQCKTBEIA6E}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:35:26.235217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da59694b29dd3951ffee8095309100f103851b555d27ae546e484dfbee1d5e08

Aliases

arxiv: 1508.02762 · arxiv_version: 1508.02762v1 · doi: 10.48550/arxiv.1508.02762 · pith_short_12: 3JMWSSZJ3U4V · pith_short_16: 3JMWSSZJ3U4VD77O · pith_short_8: 3JMWSSZJ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/3JMWSSZJ3U4VD77OQCKTBEIA6E \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: da59694b29dd3951ffee8095309100f103851b555d27ae546e484dfbee1d5e08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e24b1e914f7d9ced9597e3cc24289e6d8e593c0cf326b219bbfac7b5bf668ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-11T21:55:47Z",
    "title_canon_sha256": "e37e9842e6332ded98465a8811b2ada8f188a1be8844a6ffea0050ee7c8857c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02762",
    "kind": "arxiv",
    "version": 1
  }
}